## Course Description & Content

### 120 Plane Geometry (5)

Lecture, 5 hours.
This is a basic course in the fundamentals of Euclidean plane geometry which includes consideration of geometric properties and relationships. Practice in accurate thinking and developing logical proofs are emphasized.

### 125 Intermediate Algebra (5)

Lecture, 5 hours.
Note: A scientific or business calculator is required for this class.
This course strengthens and further develops manipulative skills in elementary algebra. Topics include the fundamental operations on algebraic expressions, solutions of equations and inequalities, exponentiation, graphs of algebraic, exponential and logarithmic functions, systems of equations and inequalities, and an introduction to the conic sections. Applications are included in a wide variety of word problems.

### 125S Intermediate Algebra with Support (5)

Lecture, 5 hours; Laboratory, 2 hours.
Note: A scientific or business calculator is required for this class.
This course includes a mandatory lab component to review topics from prealgebra and elementary algebra. This course strengthens and further develops manipulative skills in elementary algebra. Topics include the fundamental operations on algebraic expressions, solutions of equations and inequalities, exponentiation, graphs of algebraic, exponential and logarithmic functions, systems of equations and inequalities, and an introduction to the conic sections. Applications are included in a wide variety of word problems.

### 134 Accelerated Elementary and Intermediate Algebra (6)

Lecture, 4 hours; Laboratory, 4 hours.
Note: A scientific or business calculator is required for this class.
An accelerated course covering topics from Elementary and Intermediate Algebra. Topics include linear equations and inequalities, exponents, polynomials and factoring, rational expressions, rational equations and inequalities, radical expressions and equations, quadratics equations and inequalities, graphing linear and nonlinear equations and inequalities, system of linear and nonlinear equations and inequalities, functions, exponential and logarithmic functions, conics, and sequences and series. This course has a computer lab component and satisfies any Intermediate Algebra requisite.

### 137 Pre-Statistics Algebra (5)

Lecture, 5 hours.
This course introduces algebra topics and the basic elements of exploratory data analysis. Topics in the course include: Solving algebraic equations, simplifying algebraic expressions, data analysis, sample statistics and graphs, measures of central tendency and spread, functions and their graphs, probability, sequences and series, and exponential and logarithmic functions. This class is intended as preparation for students who wish to take Statistics. Students wishing to take other 200 level math courses will require Math 125, or Math 125S, or Math 134 and should consult the college catalog for prerequisites.

### 173 Introduction to Mathematical Programming (4) UC:CSU

Prerequisite: Mathematics 260.
Lecture, 3 hours; laboratory, 2 hours.
This course is an introduction to programming using C++, including theory, applications, and programming. Variables and basic data types, operators, control structures, input and output, arrays, strings, functions, recursion, structures, pointers, namespaces, and overloading are discussed in detail. Classes and object-oriented programming are introduced. Commenting of code and debugging are emphasized. Course includes examples from mathematics.

### 192 Graphing Calculator (1) CSU

Lecture, 1 hour.
This course introduces the use of the graphing calculator. It includes topics such as graphing functions in two and three dimensions, writing programs, engineering and calculus applications, solving systems of equations using matrices, and analyzing data using statistics.

### 215 Principles of Mathematics I (3) UC:CSU (C-ID Math 120)

(UC Credit Limit: 1 course maximum from: Math 215 and 216)

Prerequisite: Mathematics 125 or 125S or 134.
Lecture: 3 hours.
This course is intended for those who plan to teach mathematics in elementary schools. The course covers the language of sets, elementary logic, systems of numeration, numbers, fundamental operations, functions, integers, rational numbers, real numbers, and algorithms used in calculations.

### 216 Principles of Mathematics II (3) UC:CSU

(UC Credit Limit: 1 course maximum from: Math 215 and 216)

Prerequisite: Satisfactory completion of Mathematics 215.
Lecture, 3 hours.
This course is the second in the sequence intended for those who plan to teach elementary school mathematics. Topics presented include basic probability, introductory statistics, and introductory geometry including constructions, congruence and similarity, measurement, motion geometry, and tessellations.

### 227 Statistics (4) UC:CSU IGETC Area 2A (C-ID Math 110)

(UC Credit Limit: Math 227 combined with ENG GEN 221, maximum credit, one course).
Prerequisite: Mathematics 125 or Mathematics 125S or Mathematics 134 or Mathematics 137.

Lecture, 4 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This course is an introduction to probability, measures of central tendency and dispersion, descriptive and inferential statistics including sampling, estimation, hypothesis testing. Analysis of variance, chi-square and student t-distributions; linear correlation, and regression analysis are also presented as topics.

### 227S Statistics with Support (4) UC:CSU IGETC Area 2A

(UC Credit Limit: 1 course maximum from: MATH 227, 227S, BUS 015, ECON 020, and PSYCH 091).

Prerequisite: Mathematics 125 or Mathematics 125S or Mathematics 134 or Mathematics 137.
Lecture, 4 hours; Laboratory,1 hour
Note: A calculator is required. See the instructor about the specific kind needed.
This course is an introduction to probability, measures of central tendency and dispersion, descriptive and inferential statistics including sampling, estimation, hypothesis testing. Analysis of variance, chi-square and student t-distributions; linear correlation, and regression analysis are also presented as topics.

### 230 Mathematics for Liberal Arts Students (3) UC:CSU IGETC Area 2A

Prerequisite: Mathematics 125 or Mathematics 125S or Mathematics 134.
Lecture, 3 hours.
An introduction to the spirit and style of mathematics and its pursuit as a human endeavor. Topics are chosen from a variety of mathematical fields including logic, set theory, systems of numeration, number theory, algebra, the metric system, geometry, mathematical systems, consumer mathematics, probability, statistics, graph theory, voting and apportionment which are intended to illustrate the nature of mathematical discovery, the utility of mathematical applications, and the beauty of geometric design.

### 235 Finite Mathematics (5) UC:CSU IGETC Area 2A (C-ID Math 130)

Prerequisite: Mathematics 125 or 125S or 134.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This course covers topics in finite mathematics with applications to business and social sciences. Systems of linear equations, inequalities, linear programming, mathematics of finance, matrix algebra, probability, statistics, and game theory are among the topics presented.

### 236 Calculus for Business and Social Science (5) UC:CSU IGETC Area 2A (C-ID Math 140)

(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum credit, two courses).
Prerequisite: Mathematics 235 or Mathematics 245.
Lecture, 5 hours.
Note: Student should consult a counselor to determine which prerequisite is required by the university targeted for transfer.
Note: A calculator is required. See instructor about the specific kind needed.
This course consists of elementary differential and integral calculus of algebraic, exponential, and logarithmic functions, as well as partial derivatives and the method of Lagrange multipliers. Applications to business and the social sciences are emphasized.

### 241 Trigonometry with Vectors (4) CSU

Prerequisites: Mathematics 125 or Mathematics 125S or Mathematics 134.
Lecture, 4 hours.
Note: A scientific calculator is required for this class. See the instructor about the specific kind needed.
This course includes the study of the trigonometric functions and their inverses; measurement of angles in degrees and in radians; evaluating triangles; solutions of trigonometric equations; verification of trigonometric identities; vectors; complex numbers; graphing trigonometric functions and polar curves.

### 241S Trigonometry with Vectors with Support (4) CSU

Prerequisites: Mathematics 125 or Mathematics 125S or Mathematics 134.
Lecture, 4 hours; Laboratory, 1 hour
Note: A scientific calculator is required for this class. See the instructor about the specific kind needed.
This course includes the study of the trigonometric functions and their inverses; measurement of angles in degrees and in radians; evaluating triangles; solutions of trigonometric equations; verification of trigonometric identities; vectors; complex numbers; graphing trigonometric functions and polar curves.

### 245 College Algebra (3) UC:CSU IGETC Area 2A

(UC Credit Limit: Math 245 and 260 combined - maximum credit four units).
Prerequisite: Mathematics 125 or Mathematics 125S or Mathematics 134.
Lecture, 3 hours; Laboratory, 1 hour
Note: A scientific calculator is required for this class. See the instructor about the specific kind needed.
This course covers topics including polynomial and rational functions, inverse, exponential and logarithmic functions, systems and matrices, analytical geometry, sequences and series, the binomial theorem, mathematical induction, counting theory, and probability.

### 260 Pre-Calculus (5) UC:CSU IGETC Area 2A

(UC Credit Limit: Math 245,260 and 260S combined - maximum credit five units).
Prerequisite: Mathematics 125 or Mathematics 125S or Mathematics 134.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This course covers topics in college algebra including polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, conic sections, sequences and series, and limits as a preview to calculus.

### 260S Pre-Calculus (6) UC:CSU IGETC Area 2A

(UC Credit Limit: Math 245,260 and 260S combined - maximum credit five units).
Prerequisite: Mathematics 125 or Mathematics 125S or Mathematics 134.
Lecture, 5 hours; laboratory, 1 hour
Note: A calculator is required. See the instructor about the specific kind needed.
This course covers topics in college algebra including polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, conic sections, sequences and series, and limits as a preview to calculus.

### 261 Calculus I (5) UC:CSU IGETC Area 2A (C-ID Math 211)

(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum credit, two courses).
Prerequisite: Mathematics 241 or 241S and Mathematics 260 or 260S.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This is the first of a three-course sequence in calculus. Topics included are: limits and continuity, derivatives, applications of differentiation, integrals, the Fundamental Theorem of Calculus, and applications of integration.

### 262 Calculus II (5) UC:CSU IGETC Area 2A (C-ID Math 221)

(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum credit, two courses).
Prerequisite: Mathematics 261.
Lecture, 5 hours.
Note: A calculator is required. See the instructor about the specific kind needed.
This is the second in a three-course sequence in calculus. Topics include differentiation and integration of logarithmic, exponential, circular and hyperbolic functions and their inverses, indeterminate forms, improper integrals, standard techniques of integration, parametric equations and polar coordinates, arc length, area of a surface of revolution, infinite sequences and series, and representation of functions as a power series.

### 263 Calculus III (5) UC:CSU IGETC Area 2A (C-ID Math 230)

Prerequisite: Mathematics 262.
Lecture, 5 hours.
Note: A calculator is required, see instructor about the specific kind needed.
This is the third of a three-course sequence in calculus. Topics include vectors and the geometry of space, vector functions, partial derivatives, multiple integrals and vector calculus.

### 270 Linear Algebra (3) UC:CSU IGETC Area 2A (C-ID Math 250)

Prerequisite: Mathematics 262.
Lecture, 3 hours.
This course includes the study of systems of linear equations and their solutions, matrices, determinants, vector spaces, linear transformations, orthogonality and characteristic value problems.

### 272 Methods of Discrete Mathematics (5) UC:CSU IGETC Area 2A (C-ID Math 160)

Prerequisites: Mathematics 262.
Lecture, 5 hours.
This course introduces sets, relations, functions and logic along with formal methods of proof such as contradiction, contrapositive, induction, diagonali-zation, recursion, and the Pigeonhole principle. These ideas and methods are developed by looking at problems from combinations and counting, elementary number theory, and graph theory. Topics from map coloring, complexity, and cryptography are also discussed.

### 273 Introduction to Object-Oriented Programming (4) UC:CSU

Prerequisites: Mathematics 173.
Lecture, 3 hours; laboratory, 2 hours.
This course focuses on object-oriented programming, data structures, and algorithm design using C++. Topics include a review of classes and objects, operators and operator overloading, dynamic memory allocation, class inheritance, re-usability of code, friends, exceptions, the Standard Template Library, Big-O notation, linked lists, stacks, queues, and trees, as well as algorithms for searching and sorting. Commenting and debugging of code are emphasized.

### 275 Ordinary Differential Equations (3) UC:CSU IGETC Area 2A (C-ID Math 240)

Prerequisite: Mathematics 263.
Lecture, 3 hours.
Note: A scientific calculator is required for this class.
This course provides the student with a basic understanding of the theory and content of ordinary differential equations. Various methods of solving these equations, especially first and second order, are emphasized as are solutions to physical applications problems. Other topics covered include existence and uniqueness theorems, systems of linear differential equations, numerical and graphical methods using computers, and the Laplace transform.

### 280 Introduction to Numerical Analysis (3) UC:CSU IGETC Area 2A

Prerequisites: Mathematics 263 and EITHER Mathematics 173 or General Engineering 121 OR Computer Science Information Technology 243 or Computer Science 216.
Lecture, 3 hours.
This course is designed to provide an introduction to numerical methods. Topics presented include error analysis, finding roots of non-linear equations, numerical methods for matrix operations, interpolation and curve fitting. Numerical methods in differentiation and integration also are considered.

### 282 Introduction to Abstract Algebra (3) UC:CSU

Prerequisites: Mathematics 270.
Lecture, 3 hours.
This course is an introduction to numbers, number systems, and the basic algebraic structures of groups, rings, and fields.

### 284 Introduction to Number Theory (3) UC:CSU IGETC Area 2A

Prerequisite: Mathematics 262.
Lecture, 3 hours.
This course introduces topics in elementary number theory, including the study of primes, composites, the Euclidean algorithm, Diophantine equations, congruences, divisibility, multiplicative functions, quadratic residues, and continued fractions

### 286 Partial Differential Equations in the Natural Sciences (5) UC:CSU IGETC Area 2A

Prerequisite: Mathematics 275.
Lecture, 5 hours.
This course introduces linear partial differential equations and boundary and initial value problems with particular emphasis on the wave equation, the heat equation, and the Laplace equation. The techniques of separation of variables, eigenfunction expansions, and the method of characteristics for nonlinear equations are also studied.